Nonlinear Acoustic Effects in a Resonator with Dislocation Hysteresis and Linear Dissipation

Abstract— A theoretical study of nonlinear acoustic effects arising upon harmonic excitation of a shear wave in rod solid resonator with dislocation hysteresis and linear dissipation has been performed using the perturbation method. The expressions for the resonance curve, amplitude-dependent loss, a shift of resonance frequencies, and amplitude of a third-harmonic wave have been obtained. A graphical and numerical study of the obtained results has been performed.